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Finding the Fourth Proportional to 642.52, 882.65 and 525.88

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Solution

The fourth proportional to 642.52, 882.65 and 525.88 is: 722.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.52 : 882.65 = 525.88 : x
  2. Step 2: Convert to fraction form
    642.52/882.65 = 525.88/x
  3. Step 3: Cross multiply
    642.52x = 882.65 × 525.88
  4. Step 4: Simplify right side
    642.52x = 464,167.98
  5. Step 5: Solve for x
    x = 464,167.98/642.52
  6. Step 6: Final answer
    x = 722.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.